5. A spaceship weighing 270 000 kg is accelerated from rest to 0.999999 c. It travels...

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5. A spaceship weighing 270 000 kg is accelerated from rest to 0.999999 c. It travels from earth 14,000 light years to Sagittarius A, the black hole at the center of the Milky Way Galaxy. (10 marks) a) According to the traveler on the ship how long will it take to get there and return home? b) Assuming no friction or extraneous gravitational effects, what is the total work done by the engine to get to the black hole? c) The nuclear engine that powers the ship converts some of the mass of uranium-235 fuel to energy by nuclear fission at a rate of 1.8 g per kg of uranium fuel. How much fuel will be need for this trip. Does this value make sense? Do your results suggest that this method of propulsion would work in this scenario? Explain. 5. A spaceship weighing 270 000 kg is accelerated from rest to 0.999999 c. It travels from earth 14,000 light years to Sagittarius A, the black hole at the center of the Milky Way Galaxy. (10 marks) a) According to the traveler on the ship how long will it take to get there and return home? b) Assuming no friction or extraneous gravitational effects, what is the total work done by the engine to get to the black hole? c) The nuclear engine that powers the ship converts some of the mass of uranium-235 fuel to energy by nuclear fission at a rate of 1.8 g per kg of uranium fuel. How much fuel will be need for this trip. Does this value make sense? Do your results suggest that this method of propulsion would work in this scenario? Explain.